Answer
0.625243
Work Step by Step
Converting $38^{\circ}48'$ to decimal degrees, we get
$38^{\circ}42'=38^{\circ}+\frac{42}{60}^{\circ}=38^{\circ}+0.7^{\circ}=38.7^{\circ}$
$\sin 38^{\circ}42'=\sin 38.7^{\circ}\approx0.625243$
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